C1, α-regularity for steady flows of electrorheological fluids in 2D. (April 2023)

• Record Type: Journal Article
• Authors: Sin, Cholmin
• Is Part Of: Nonlinear analysis. Volume 229(2023)
• Publication Date: 2023-04
• Subjects: 35D30 -- 35D35 -- 76D03 -- 76A05; Hölder continuity -- Weak solution -- Strong solution -- Electrorheological fluid -- Variable exponent; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2023.113223
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove interior C 1, α -regularity of every weak solution and the existence of global C 1, α -solutions for steady flows of electrorheological fluids with Dirichlet type boundary condition under 3 2 < p ( x ) < ∞ in 2D.